Lubię mieć własny kubek w pracy i własny koc w samochodzie.

Because after lubić (to like), Polish normally uses another verb in the infinitive. So lubię mieć works like I like to have or I like having in English.

This is a very common pattern:

• Lubię czytać = I like to read / I like reading
• Lubię gotować = I like to cook
• Lubię mieć = I like to have

Only lubię is conjugated here; mieć stays in its basic dictionary form.

Because mam simply means I have, while lubię mieć expresses a preference or something the speaker finds pleasant or desirable.

So the idea is not just possession, but something more like:

• I like having my own mug at work
• I prefer to have my own blanket in the car

Using lubię mieć gives the sentence a more personal, habitual feeling.

Yes, you could say mój or swój, but własny adds the idea of one’s own, often with a slight emphasis on something personal, separate, or specifically yours.

Very roughly:

• mój kubek = my mug
• swój kubek = one’s own mug / my own mug when the owner is the subject
• własny kubek = my own mug, often a bit more emphatic or personal

In this sentence, własny sounds natural because the speaker is emphasizing having a personal mug and a personal blanket, not just any mug or blanket.

It is repeated for clarity and balance. The speaker wants to say that both things are their own: their own mug and their own blanket.

If you did not repeat it, the sentence could sound less clear or less neatly structured. Repeating the adjective is very natural in Polish, especially when two separate objects are being listed:

• własny kubek ... i własny koc ...

It neatly matches the two places as well:

• mug — at work
• blanket — in the car

They are in the accusative, because they are the direct objects of mieć (to have).

However, for masculine inanimate singular nouns, the accusative looks the same as the nominative. That is why you see:

• kubek
• koc

instead of different-looking endings.

The adjective also matches that pattern:

• własny kubek
• własny koc

So even though these are accusative objects, they look like the basic dictionary form.

Because both kubek and koc are masculine singular inanimate nouns, so the adjective takes the same form with both.

That is why you get:

• własny kubek
• własny koc

If the noun were feminine or neuter, or plural, the adjective would look different. For example:

• własna książka
• własne auto
• własne rzeczy

Here w means location, so it requires the locative case. The noun praca changes to pracy in the locative singular.

So:

• praca = basic form
• w pracy = at work / in work as a location expression

In English we usually say at work, but Polish uses w pracy. This is just the normal idiomatic way to express that idea.

Because after w when it means in as a location, Polish uses the locative case, not the accusative.

So:

• samochód = basic form
• w samochodzie = in the car

The ending changes because the noun is in the locative singular. This kind of change is very common in Polish after prepositions showing location:

• w domu
• w pokoju
• w samochodzie

Because Polish w basically marks being inside a place or within a location, but English does not always translate that literally.

So:

• w pracy is naturally translated as at work
• w samochodzie is naturally translated as in the car

This is a translation issue rather than a grammar difference. Polish uses w in both phrases, but English chooses the most natural preposition in each case.

Because Polish does not have articles like English a/an/the.

So kubek can mean:

• a mug
• the mug
• just mug

The exact meaning depends on context. In this sentence, the possessive idea in własny already makes things specific enough, so Polish does not need an article.

No, Polish word order is fairly flexible, although the original order is very natural and neutral.

The sentence:

• Lubię mieć własny kubek w pracy i własny koc w samochodzie

sounds smooth and unmarked. But Polish could rearrange parts for emphasis, for example:

• W pracy lubię mieć własny kubek, a w samochodzie własny koc.

That version puts more focus on the two places. So the original word order is not the only possible one, but it is a very normal default choice.

It describes a general preference or a habitual attitude, not just a single moment.

So the speaker means something like:

• this is the kind of thing I like
• I generally prefer it this way

That is why lubię fits well here. It sounds like a personal habit or preference rather than a one-time action.